{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据采集\n",
    "* py连接sql数据库\n",
    "* sql server数据库取数\n",
    "* 数据为公司17-18年2月客户LRFM数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 253,
   "metadata": {},
   "outputs": [],
   "source": [
    "##导入数据\n",
    "import pymssql\n",
    "import pandas as pd\n",
    "conn = pymssql.connect(host='172.16.1.23',user='WYFX',password='yht!%(#%&',database='med1004',port=1433,charset='utf8')\n",
    "SQL='''select MEMBER_id,datediff(dd,createtime,getdate())L,datediff(dd,lastsalestime,getdate())R,F,M from med1004..Member\n",
    "inner join \n",
    "(select MEMBER_id ,count(*) F ,SUM(salesmoney)M\n",
    "from (SELECT * from med1004..Membersales where Salesmoney!=0) T1\n",
    "group by MEMBER_id) T2\n",
    "on Member.ID=T2.MEMBER_id'''\n",
    "data=pd.read_sql(SQL,conn)\n",
    "conn.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>L</th>\n",
       "      <th>R</th>\n",
       "      <th>F</th>\n",
       "      <th>M</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MEMBER_id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>13852</th>\n",
       "      <td>517</td>\n",
       "      <td>171</td>\n",
       "      <td>2</td>\n",
       "      <td>99.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13935</th>\n",
       "      <td>517</td>\n",
       "      <td>9</td>\n",
       "      <td>10</td>\n",
       "      <td>490.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14171</th>\n",
       "      <td>517</td>\n",
       "      <td>199</td>\n",
       "      <td>2</td>\n",
       "      <td>314.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14186</th>\n",
       "      <td>517</td>\n",
       "      <td>291</td>\n",
       "      <td>2</td>\n",
       "      <td>127.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14286</th>\n",
       "      <td>517</td>\n",
       "      <td>32</td>\n",
       "      <td>9</td>\n",
       "      <td>290.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             L    R   F      M\n",
       "MEMBER_id                     \n",
       "13852      517  171   2   99.2\n",
       "13935      517    9  10  490.6\n",
       "14171      517  199   2  314.8\n",
       "14186      517  291   2  127.8\n",
       "14286      517   32   9  290.2"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#看下数据\n",
    "data=data.set_index('MEMBER_id')\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 数据清洗"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据标准化\n",
    "这里使用sklearn中的StandardScaler方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>L</th>\n",
       "      <th>R</th>\n",
       "      <th>F</th>\n",
       "      <th>M</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2.027992</td>\n",
       "      <td>0.597998</td>\n",
       "      <td>-0.241471</td>\n",
       "      <td>-0.199582</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2.027992</td>\n",
       "      <td>-1.048059</td>\n",
       "      <td>1.558620</td>\n",
       "      <td>-0.007990</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2.027992</td>\n",
       "      <td>0.882502</td>\n",
       "      <td>-0.241471</td>\n",
       "      <td>-0.094045</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.027992</td>\n",
       "      <td>1.817299</td>\n",
       "      <td>-0.241471</td>\n",
       "      <td>-0.185582</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2.027992</td>\n",
       "      <td>-0.814359</td>\n",
       "      <td>1.333609</td>\n",
       "      <td>-0.106086</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          L         R         F         M\n",
       "0  2.027992  0.597998 -0.241471 -0.199582\n",
       "1  2.027992 -1.048059  1.558620 -0.007990\n",
       "2  2.027992  0.882502 -0.241471 -0.094045\n",
       "3  2.027992  1.817299 -0.241471 -0.185582\n",
       "4  2.027992 -0.814359  1.333609 -0.106086"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "data=pd.DataFrame(StandardScaler().fit(data).transform(data)).rename(columns={0:'L',1:'R',2:'F',3:'M'})\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "#引入画图的包\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "%matplotlib inline\n",
    "plt.style.use('ggplot')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0xff3b1b0>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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iHI3zqR+v5YG1u7lkTjXVJcGUHnvpnElUhQp49LX9QKK4+vJvXuWHL+zgl+v28Bf3vzLi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\nGYljyzY9KqQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9903f10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams['font.sans-serif']=['SimHei'] #用来正常显示中文标签\n",
    "plt.rcParams['axes.unicode_minus']=False #用来正常显示负号\n",
    "sns.FacetGrid(data.stack().reset_index().rename(columns={'level_1':'特征'}),col='特征',sharex=False,sharey=False).map(sns.distplot,0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 经过数据标准化后可以发现,F和M分布比较靠前,说明离散点数量多\n",
    "* 这里的离散点数据可能是批发等渠道,也有可能是超级会员,需求量比较大,这里不作聚类研究,故对F和M数据进行处理(高于98分位数的数用98分位数替换)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "def 离散点替换(data,x):\n",
    "    data.loc[data[x]>=np.percentile(data[x],98),x]=np.percentile(data[x],98)\n",
    "离散点替换(data,'F')\n",
    "离散点替换(data,'M')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0xefcfd70>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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8vOHImOJWE0OCg2NuBX5vjKkFCkSkdlyDVCoHGWO6jTEfjr5nXWqMOTbydymlckUg1iIY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\nKaWUUkopl2iDpZRSSimllFIu+X/XnDg5pbCEIgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2bc2ce50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.FacetGrid(data.stack().reset_index().rename(columns={'level_1':'特征'}),col='特征',sharex=False,sharey=False).map(sns.distplot,0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 虽然也不是很理想,但是表现好很多"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 建模聚类分析\n",
    "### 从实际业务出发,将客户价值为为五类:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>L</th>\n",
       "      <th>R</th>\n",
       "      <th>F</th>\n",
       "      <th>M</th>\n",
       "      <th>类别</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2.027992</td>\n",
       "      <td>0.597998</td>\n",
       "      <td>-0.241471</td>\n",
       "      <td>-0.199582</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2.027992</td>\n",
       "      <td>-1.048059</td>\n",
       "      <td>1.558620</td>\n",
       "      <td>-0.007990</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2.027992</td>\n",
       "      <td>0.882502</td>\n",
       "      <td>-0.241471</td>\n",
       "      <td>-0.094045</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.027992</td>\n",
       "      <td>1.817299</td>\n",
       "      <td>-0.241471</td>\n",
       "      <td>-0.185582</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2.027992</td>\n",
       "      <td>-0.814359</td>\n",
       "      <td>1.333609</td>\n",
       "      <td>-0.106086</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          L         R         F         M  类别\n",
       "0  2.027992  0.597998 -0.241471 -0.199582   3\n",
       "1  2.027992 -1.048059  1.558620 -0.007990   2\n",
       "2  2.027992  0.882502 -0.241471 -0.094045   4\n",
       "3  2.027992  1.817299 -0.241471 -0.185582   4\n",
       "4  2.027992 -0.814359  1.333609 -0.106086   2"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#模型训练\n",
    "from sklearn.cluster import KMeans\n",
    "Kmodol=KMeans(5,n_jobs=4)\n",
    "Kmodol.fit(data)\n",
    "data['类别']=Kmodol.labels_\n",
    "data=data.rename(columns={0:'L',1:'R',2:'F',3:'M'})\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "source": [
    "* 数据聚类完毕"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 可视化分析"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 各聚类各项特征的分布情况"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x2bc4c910>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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NMMA+y2CZHBiIxCkP+PCN0fVvouoqSnnvefMJRxN8/YGXUx5TKHPYGGOMt5w2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pk9PK/bdv4MEXOnj04AV+785Nl/383j3rl79YIZbmauBTWutXExeF1wE/K/CahCh1RXFejfhC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F1rt9WhiBRR39rN/b/Zz6zCLDYsKbc6HGGRReW5HL/g6dv4M121jFJg2Q1j2EUucjMdGCq8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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2bcdcb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_X=data.set_index('类别').stack().reset_index().rename(columns={'level_1':'特征'})\n",
    "g = sns.FacetGrid(data_X, row=\"类别\",col='特征',sharex=False,sharey=False)\n",
    "g.map(sns.distplot,0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 主成分分析\n",
    "对数据进行降维(二维)来观察每个类别的分布情况"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 248,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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iqDJBRKbByWPYC6yj0vJhX5XLSBmS5XA3pk3Tea6R+8A7xviRtsJHy/5b4wkh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\niQcCgcAU8/8BR8Kbq02esnMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x3f661230>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "pca=PCA(n_components=2)\n",
    "x=['L','R','F','M']\n",
    "pca.fit(np.array(data[x]))\n",
    "data_pca=pd.DataFrame(pca.transform(np.array(data[x])))\n",
    "data_pca['类别']=data.类别\n",
    "for 类别 in data_pca.类别.unique():\n",
    "    plt.scatter(data_pca.loc[data_pca.类别==类别,0],data_pca.loc[data_pca.类别==类别,1],alpha=0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "较为明显的分成了5个聚类"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 观察5个簇中心点,用来衡量聚类的类型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>L</th>\n",
       "      <th>R</th>\n",
       "      <th>F</th>\n",
       "      <th>M</th>\n",
       "      <th>数量</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-0.847303</td>\n",
       "      <td>-0.654517</td>\n",
       "      <td>-0.216930</td>\n",
       "      <td>-0.105230</td>\n",
       "      <td>120154</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.133923</td>\n",
       "      <td>0.610819</td>\n",
       "      <td>-0.310375</td>\n",
       "      <td>-0.146048</td>\n",
       "      <td>68472</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.003945</td>\n",
       "      <td>-0.812075</td>\n",
       "      <td>1.902313</td>\n",
       "      <td>0.530987</td>\n",
       "      <td>21351</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.360289</td>\n",
       "      <td>-0.456422</td>\n",
       "      <td>0.174226</td>\n",
       "      <td>0.059832</td>\n",
       "      <td>38602</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.993729</td>\n",
       "      <td>1.927287</td>\n",
       "      <td>-0.329567</td>\n",
       "      <td>-0.100614</td>\n",
       "      <td>37260</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          L         R         F         M      数量\n",
       "0 -0.847303 -0.654517 -0.216930 -0.105230  120154\n",
       "1 -0.133923  0.610819 -0.310375 -0.146048   68472\n",
       "2  1.003945 -0.812075  1.902313  0.530987   21351\n",
       "3  1.360289 -0.456422  0.174226  0.059832   38602\n",
       "4  0.993729  1.927287 -0.329567 -0.100614   37260"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cluster_centers=pd.DataFrame(Kmodol.cluster_centers_).rename(columns={0:'L',1:'R',2:'F',3:'M'})\n",
    "data1=pd.concat([cluster_centers,pd.Series(Kmodol.labels_).value_counts()],axis=1).rename(columns={0:'数量'})\n",
    "data1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 256,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Text(0,0,'L'), Text(0,0,'R'), Text(0,0,'F'), Text(0,0,'M')]"
      ]
     },
     "execution_count": 256,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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HHnhATz75pFpbW7V06VKtXbtWkrRx48ZhHwOA8eKFH3e6XcJ57tfxsU+XuF0CAIyKIa9Q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\nhMNhSiqqGTQC3B3TuDkU5Z9GTdRIgrbQSHYs36ZsbFRUEuXn0HzNlI7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52fA1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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x3e5bc750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig=plt.figure(figsize=(12,8))\n",
    "fig.add_subplot(211)\n",
    "data1.数量.plot('bar')\n",
    "fig.add_subplot(212)\n",
    "for i in data1.drop('数量',axis=1).T.columns:\n",
    "    plt.plot(np.arange(1,len(data1.drop('数量',axis=1))),data1.drop('数量',axis=1).T[i])\n",
    "plt.legend()\n",
    "ax=plt.gca() \n",
    "ax.set_xticks(np.arange(1,len(data1.drop('数量',axis=1))))\n",
    "ax.set_xticklabels(data1.drop('数量',axis=1).columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 客户聚类定义"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 评判标准:\n",
    "* L =Load_time-ffp_date 会员加入时长  \n",
    "* R = Recency 最近一次消费　　越低越有价值\n",
    "* F = Frequency 消费频率　　  越高越有价值\n",
    "* M = Monetary 消费金额     越高越有价值\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 将用户群依次从价值排序可分为:\n",
    "* 重要保持会员\n",
    "* 重要发展会员\n",
    "* 普通会员\n",
    "* 需要挽留会员\n",
    "* 已流失会员\n",
    "### 分析上图可知:\n",
    "    1. 客户群2的R最短,且F,M最高,定义为重要保持会员\n",
    "    2. 客户群0的L(时长)最小,定义为重要发展会员\n",
    "    3. 客户群3的L(时长)最长,且R较小,定义为普通会员\n",
    "    4. 客户群1相较其他会员,定义为需要挽留会员\n",
    "    5. 客户群4的R最长,说明很久没有消费,定义为已流失会员"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 301,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>L</th>\n",
       "      <th>R</th>\n",
       "      <th>F</th>\n",
       "      <th>M</th>\n",
       "      <th>数量</th>\n",
       "      <th>客户聚类</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-0.847303</td>\n",
       "      <td>-0.654517</td>\n",
       "      <td>-0.216930</td>\n",
       "      <td>-0.105230</td>\n",
       "      <td>120154</td>\n",
       "      <td>重要发展会员</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.133923</td>\n",
       "      <td>0.610819</td>\n",
       "      <td>-0.310375</td>\n",
       "      <td>-0.146048</td>\n",
       "      <td>68472</td>\n",
       "      <td>挽留会员</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.003945</td>\n",
       "      <td>-0.812075</td>\n",
       "      <td>1.902313</td>\n",
       "      <td>0.530987</td>\n",
       "      <td>21351</td>\n",
       "      <td>重要保持会员</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.360289</td>\n",
       "      <td>-0.456422</td>\n",
       "      <td>0.174226</td>\n",
       "      <td>0.059832</td>\n",
       "      <td>38602</td>\n",
       "      <td>普通会员</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.993729</td>\n",
       "      <td>1.927287</td>\n",
       "      <td>-0.329567</td>\n",
       "      <td>-0.100614</td>\n",
       "      <td>37260</td>\n",
       "      <td>已流失会员</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          L         R         F         M      数量    客户聚类\n",
       "0 -0.847303 -0.654517 -0.216930 -0.105230  120154  重要发展会员\n",
       "1 -0.133923  0.610819 -0.310375 -0.146048   68472    挽留会员\n",
       "2  1.003945 -0.812075  1.902313  0.530987   21351  重要保持会员\n",
       "3  1.360289 -0.456422  0.174226  0.059832   38602    普通会员\n",
       "4  0.993729  1.927287 -0.329567 -0.100614   37260   已流失会员"
      ]
     },
     "execution_count": 301,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_cluster=pd.DataFrame({'index':[2,0,3,1,4],'客户聚类':['重要保持会员','重要发展会员','普通会员','挽留会员','已流失会员']}).set_index('index')\n",
    "pd.merge(data1,data_cluster,left_index=True,right_index=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 模型应用\n",
    "1. 会员等级:建立良好的会员等级,可将会员分成钻石，白金，金卡，银卡等,针对不同会员的等级和积分兑换不同的礼品\n",
    "2. 会员粘性:增加会员的粘性度,可以利用邮件或者短信营销实时更新最近活动等来刺激会员进行消费\n",
    "3. 会员维护：一方面维持老会员的消费情况,一方面增加新会员的发展,建立良好的会员营销制度"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 总结\n",
    "结合实际业务,运用机器学习中K-Means聚类算法,建立LRFM模型。计算出不同类型的会员进行精准营销"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
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